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Indian Navy SSR (Sailor) Real Numbers — practice questions

Explore 2 free Real Numbers questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Real Numbers questions and exercises with answers

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Euclid's division lemma states that for positive integers a and b, there exist unique q and r such that:Read the answer and worked solution →The prime factorisation of 360 is:Read the answer and worked solution →

Worked practice questions

Euclid's division lemma states that for positive integers a and b, there exist unique q and r such that:

  1. a = bq, with no remainder
  2. a = bq + r, where 0 ≤ r < b
  3. a = bq + r, where r > b
  4. a = b + qr
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Correct answer: B. a = bq + r, where 0 ≤ r < b

Euclid's division lemma: a = bq + r with 0 ≤ r < b, and q, r unique.

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The prime factorisation of 360 is:

  1. 2² × 3² × 5²
  2. 2³ × 3² × 5
  3. 2² × 3³ × 5
  4. 2³ × 3 × 5²
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Correct answer: B. 2³ × 3² × 5

We have 360 = 8 × 45. That is 360 = 2³ × 9 × 5. So 360 = 2³ × 3² × 5.

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